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Finding the Third Proportional to 130,672 and 190,964

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Solution

The third proportional to 130,672 and 190,964 is: 279,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,672 : 190,964 = 190,964 : x
  2. Step 2: Convert to fraction form
    130,672/190,964 = 190,964/x
  3. Step 3: Cross multiply
    130,672x = 190,964 × 190,964
  4. Step 4: Simplify right side
    130,672x = 36,467,249,296
  5. Step 5: Solve for x
    x = 36,467,249,296/130,672
  6. Step 6: Final answer
    x = 279,074.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.